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To solve this problem, we need to identify another angle with the same trigonometric ratio for each given angle. Here’s the detailed explanation for each part:

### Step-by-step solution:
1. **a) \( \cos 45^\circ \):**
   - The cosine function is positive in Quadrants I and IV.
   - \( \cos 45^\circ = \cos (360^\circ - 45^\circ) = \cos 315^\circ \).
   - Therefore, another angle is \( \mathbf{315^\circ} \).

2. **b) \( \sin 150^\circ \):**
   - The sine function is positive in Quadrants I and II.
   - \( \sin 150^\circ = \sin (180^\circ - 150^\circ) = \sin 30^\circ \).
   - Therefore, another angle is \( \mathbf{30^\circ} \).

3. **c) \( \tan 300^\circ \):**
   - The tangent function is positive in Quadrants I and III.
   - \( \tan 300^\circ = \tan (300^\circ - 180^\circ) = \tan 120^\circ \), but tangent is negative there.
   - Using \( \tan (360^\circ - 300^\circ) = }, same

Determine another angle that has the same trigonometric ratio as each given angle. Draw a sketch with both angles labeled. a) cos 45° b) sin 150° c) tan 300° d) sin 100° e) cos 230° f) tan 350°

Learn how to determine angles with identical trigonometric ratios for cos 45°, sin 150°, tan 300°, and more. Step-by-step guidance provided, covering quadrant rules and key trigonometric formulas. Perfect for high school students in Grades 10-12.

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